Question

If a tree of 5.5 meters casts a shadow of 3 meters. How high will a tower that gives a shadow of 15 meters be?

Answer 1

Answer:

The height of a tower would be 27.5 meters

Explanation:

Notice that in both cases you are dealing with diagrams representing vertical objects and shadows created by the sun, against the ground, so we are in the presence of right angle triangles which have in common another angle (that made by the rays of the sun. So we can use similar triangles and the proportion that is generated based on the quotient of similar sides to find the unknown height (h).

$\frac{5.5}{3} =\frac{h}{15} \\h=\frac{(5.5)\,(15)}{3} \\h=27.5\,\,m$